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Finding the Fourth Proportional to 520,099.30, 780,148.95 and 310,147.30

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Solution

The fourth proportional to 520,099.30, 780,148.95 and 310,147.30 is: 465,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,099.30 : 780,148.95 = 310,147.30 : x
  2. Step 2: Convert to fraction form
    520,099.30/780,148.95 = 310,147.30/x
  3. Step 3: Cross multiply
    520,099.30x = 780,148.95 × 310,147.30
  4. Step 4: Simplify right side
    520,099.30x = 241,961,090,440.34
  5. Step 5: Solve for x
    x = 241,961,090,440.34/520,099.30
  6. Step 6: Final answer
    x = 465,220.95

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.